Alg 2: Imaginary Numbers- Intro

Front

What is the definition of an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

Front

What is the value of i?

Back

Front

What is the value of i^2?

Back

i^2 = -1.

Front

What is the value of i^3?

Back

i^3 = i^2 * i = -1 * i = -i.

Front

What is the value of i^4?

Back

i^4 = (i^2)^2 = (-1)^2 = 1.

Front

Back

4i.

Front

Back

3i.

Front

What is the product of two imaginary numbers, i and -i?

Back

i * -i = -i^2 = -(-1) = 1.

Front

Back

-6i^2 = 6.

Front

Back

15i.